| dc.rights.license | CC-BY-NC-ND | |
| dc.contributor.advisor | Arutyunov, G. | |
| dc.contributor.author | Keijdener, D.L.D. | |
| dc.date.accessioned | 2013-08-16T17:01:39Z | |
| dc.date.available | 2013-08-16 | |
| dc.date.available | 2013-08-16T17:01:39Z | |
| dc.date.issued | 2013 | |
| dc.identifier.uri | https://studenttheses.uu.nl/handle/20.500.12932/14077 | |
| dc.description.abstract | Localization is a powerful mathematical tool to gain exact solutions for the partition function and observables on closed manifolds. The origin and validity of several index theorems will be discussed, specifically the Atiyah-Bott-Berline-Vergne theorem, and we will see how they are related to localization as introduced by E. Witten in 1988. A proof of the Poincaré-Hopf index theorem will be provided as an illustration of this method. Furthermore we will introduce a N=1 off-shell supersymmetric Yang-Mills theory with matter on the 5-sphere and show that the conditions for using localization can be satisfied to conclude by discussing how localization techniques have been used by K. Hosomichi e.a. (arXiv:1206.6008) and J.Källén e.a. (arXiv:1203.0371) to acquire exact results for the partition function. | |
| dc.description.sponsorship | Utrecht University | |
| dc.format.extent | 3949784 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | |
| dc.title | Localization and its application to N = 1 Super Yang-Mills theory with matter on the 5-sphere | |
| dc.type.content | Master Thesis | |
| dc.rights.accessrights | Open Access | |
| dc.subject.keywords | Yang-Mills, Localization, Index theorems | |
| dc.subject.courseuu | Theoretical Physics | |
